To apply the Quotient Rule of Exponents, we use the rule that states:
\[ \frac{a^m}{a^n} = a^{m-n} \]
In your case, we have:
\[ \frac{2^6}{2^2} = 2^{6-2} = 2^4 \]
So, the equivalent expression of \(\frac{2^6}{2^2}\) is \(2^4\).
The answer is 2^4.